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IEVref:171-07-10ID:
Language:enStatus: Standard
Term: decision content
Synonym1:
Synonym2:
Synonym3:
Symbol: H0
Da
Definition: logarithm of the number of events in a finite set of n mutually exclusive events

H0=log n

EXAMPLE The decision content of a set of three events is:

H 0 =( lb 3 )Sh1,585Sh =( ln 3 )nat1,099nat =( lg 3 )Hart0,477Hart MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaieYdNi=xH8yiVC0xbbL8F4rqqrFfpeea0x e9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKk Fr0xfr=xfr=xb9adbaGaaiGadiWaamaaceGaaqaacaqbaaGceaqabe aajugibiaadIeakmaaBaaaleaajugWaiaabcdaaSqabaGccaqG9aqc fa4aaeWaaOqaaKqzaeGaaeiBaiaabkgacaqGGaGaae4maaGccaGLOa GaayzkaaqcLbqacaqGtbGaaeiAaiabgIKi7kaabgdacaqGSaGaaeyn aiaabIdacaqG1aGaaGjbVlaabofacaqGObaakeaajugabiaaywW7ca aMe8UaaGjcVlaab2dajuaGdaqadaGcbaqcLbqacaqGSbGaaeOBaiaa bccacaqGZaaakiaawIcacaGLPaaajugabiaab6gacaqGHbGaaeiDai abgIKi7kaabgdacaqGSaGaaeimaiaabMdacaqG5aGaaGjbVlaab6ga caqGHbGaaeiDaaGcbaqcLbqacaaMf8UaaGjbVlaayIW7caqG9aqcfa 4aaeWaaOqaaKqzaeGaaeiBaiaabEgacaqGGaGaae4maaGccaGLOaGa ayzkaaqcLbqacaqGibGaaeyyaiaabkhacaqG0bGaeyisISRaaeimai aabYcacaqG0aGaae4naiaabEdacaaMe8UaaeisaiaabggacaqGYbGa aeiDaaaaaa@7EED@

Note 1 to entry: The base of the logarithm determines the unit used. Commonly used units are: shannon (symbol Sh) for logarithms of base 2, natural unit (symbol nat) for logarithms of base e, hartley (symbol Hart) for logarithms of base 10.

Conversion table:

1 Sh 0,693 nat 0,301 Hart 1 nat 1,433 Sh 0,434 Hart 1 Hart 3,322 Sh 2,303 nat MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaiGc9aspC0FXdbbc9asFfpec8Eeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meaabaGacmaadiWaaiWabaabaiaafaaake aafaqaaeWafaaaaeaaqaaaaaaaaaWdbiaaigdacaGGGcGaaGjcVlaa bofacaqGObaapaqaa8qacqGHijYUa8aabaWdbiaaicdacaGGSaGaaG OnaiaaiMdacaaIZaGaaiiOaiaayIW7caqGUbGaaeyyaiaabshaa8aa baWdbiabgIKi7cWdaeaapeGaaGimaiaacYcacaaIZaGaaGimaiaaig dacaGGGcGaaGjcVlaabIeacaqGHbGaaeOCaiaabshaa8aabaWdbiaa igdacaGGGcGaaGjcVlaab6gacaqGHbGaaeiDaaWdaeaapeGaeyisIS lapaqaa8qacaaIXaGaaiilaiaaisdacaaIZaGaaG4maiaacckacaaM i8Uaae4uaiaabIgaa8aabaWdbiabgIKi7cWdaeaapeGaaGimaiaacY cacaaI0aGaaG4maiaaisdacaaMi8UaaiiOaiaabIeacaqGHbGaaeOC aiaabshaa8aabaWdbiaaigdacaGGGcGaaGjcVlaabIeacaqGHbGaae OCaiaabshaa8aabaWdbiabgIKi7cWdaeaapeGaaG4maiaacYcacaaI ZaGaaGOmaiaaikdacaGGGcGaaGjcVlaabofacaqGObaapaqaa8qacq GHijYUa8aabaWdbiaaikdacaGGSaGaaG4maiaaicdacaaIZaGaaiiO aiaayIW7caqGUbGaaeyyaiaabshaaaaaaa@91F0@

Note 2 to entry: The decision content is independent of the probabilities of the occurrence of the events.

Note 3 to entry: The number of decisions needed to select a specific event out of a finite set of mutually exclusive events equals the smallest integer which is greater than or equal to the decision content when the base of the logarithm is the number of choices on each decision.

Note 4 to entry: When the same integer base is used for the same number of events, the decision content equals the maximum entropy.


Publication date:2019-03-29
Source:IEC 80000-13:2008, 13-23, modified – The notes to entry have been added
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